SOLUTION: I'm not sure what type of problem this is :( Please someone help me. The ratio of two #'s is 8 to 5. Also, 3 times the larger # is 3 less that 5 times the smaller #. What are

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I'm not sure what type of problem this is :( Please someone help me. The ratio of two #'s is 8 to 5. Also, 3 times the larger # is 3 less that 5 times the smaller #. What are       Log On


   

Question 32830: I'm not sure what type of problem this is :( Please someone help me.
The ratio of two #'s is 8 to 5. Also, 3 times the larger # is 3 less that 5 times the smaller #. What are the #'s?

Thanks.
Answer by askmemath(368) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 2 numbers be 8x and 5x
3 times the larger = 3(8x) = 24x
is 3 less than 5 times the smaller
24X = 5(5x)-3
24x = 25x-3
Simplifying X = 3
So the numbers are 24 and 15
Check:
3 times the larger = 3(24) = 72
5 times the smaller = 5(15) = 75
Difference = 75-72 = 3
Hence the answer is correct :-)